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The value of a for which the system of e...

The value of a for which the system of equations , `a^(3)x + (a + 1)^(3) y + (a + 2)^(3) z = 0 `, ax + (a + 1) y + (a + 2) z = 0 & x+y+z=0 has a non - zero solution is :

A

1

B

0

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Put `Delta = 0`
`|{:(a^(3) , (a + 1)^(3) , (a + 2)^(3)), (a , a+ 1, a + 2) , (1 , 1 ,1 ):}|= 0`
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